corner
corner

Phys. Rev. A 71, 032313 (2005) [11 pages]

Average fidelity between random quantum states

Download: PDF (133 kB) Buy this article Export: BibTeX or EndNote (RIS)

Karol Życzkowski1,2,3,* and Hans-Jürgen Sommers4,†
1Instytut Fizyki im. Smoluchowskiego, Uniwersytet Jagielloński, ulica Reymonta 4, 30-059 Kraków, Poland
2Centrum Fizyki Teoretycznej, Polska Akademia Nauk, Aleja Lotników 32∕44, 02-668 Warszawa, Poland
3Perimeter Institute, Waterloo, Ontario, Canada N2L 2Y5
4Fachbereich Physik, Universität Duisburg-Essen, Campus Essen, 45117 Essen, Germany

Received 11 May 2004; published 15 March 2005

We analyze mean fidelity between random density matrices of size N, generated with respect to various probability measures in the space of mixed quantum states: the Hilbert-Schmidt measure, the Bures (statistical) measure, the measure induced by the partial trace, and the natural measure on the space of pure states. In certain cases explicit probability distributions for the fidelity are derived. The results obtained may be used to gauge the quality of quantum-information-processing schemes.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.032313
DOI:
10.1103/PhysRevA.71.032313
PACS:
03.67.Mn, 03.65.Ta, 03.65.Ud

*Email address: karol@cft.edu.pl

Email address: sommers@theo-phys.uni-essen.de